I created two partitions on my removable Flash drive, but Windows doesn't recognize the second partition.
Both partitions are NTFS and primary partitions.
And this image is in disk management on Windows 7.
and also with EASEUS Partition Master
Have you looked in disk management? Perhaps checked that both have a drive letter assigned to them?
Windows does not support multiple partitions on removable flash drives. The drive must be either non-removable or non-flash.
The Web describes various methods how to make removable flash drives work, but in general case you are better off using a non-flash medium for this (like a USB HDD/USB SSD).
I met the same issue with two different USB keys on both Windows 7 and XP. I can confirm minya's bit of information.
I checked if it works with a partition type 'HIDDEN' for the first partition, but nope: even then only the so-called "hidden" partition is usable under both Windows versions (DISK management tool shows all partitions but does not read the filesystem of partition #2 and more).
There's a solution for 32 bit versions of this limitative OS, though: Enabling Multiple Partitions on Removable USB Storage
EDIT: Here is a tool that do the job in seconds (32/64-bit Windows OS, GPL): RMPrepUSB. In their tutorial, point « 4a. Use RMPrepUSB » alone does the job well. If you know how to swap partitions viewed by Windows under *nix please share it :)